The roots of polynomial $ p(d) $ are:
$$ \begin{aligned}d_1 &= -4.2738\\[1 em]d_2 &= 0.1369+1.0729i\\[1 em]d_3 &= 0.1369-1.0729i \end{aligned} $$Polynomial $ d^3+4d^2+5 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.